Journal of Function Spaces
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The latest articles from Hindawi Publishing Corporation
© 2015 , Hindawi Publishing Corporation . All rights reserved.

Jordan Type Inequalities for Hyperbolic Functions and Their Applications
Sun, 01 Mar 2015 14:16:04 +0000
http://www.hindawi.com/journals/jfs/2015/370979/
We present the best possible parameters p, such that the double inequality holds for all . As applications, some new inequalities for certain special function and bivariate means are found.
ZhenHang Yang and YuMing Chu
Copyright © 2015 ZhenHang Yang and YuMing Chu. All rights reserved.

Existence and Asymptotic Behaviour of Solutions of Differential and Integral Equations in Some Function Spaces
Sun, 01 Mar 2015 10:25:40 +0000
http://www.hindawi.com/journals/jfs/2015/235043/
Józef Banaś, Mohamed Abdalla Darwish, Leszek Olszowy, and Kishin Sadarangani
Copyright © 2015 Józef Banaś et al. All rights reserved.

Some Basic Properties of Certain New Subclass of Meromorphic Functions
Sun, 01 Mar 2015 08:03:31 +0000
http://www.hindawi.com/journals/jfs/2015/196060/
We introduce and investigate a new subclass of meromorphic functions. Some interesting properties such as inclusion relationship, coefficient estimates, neighborhoods, and partial sums are proved. Connections of the results with known results are also considered.
Lei Shi and ZhiGang Wang
Copyright © 2015 Lei Shi and ZhiGang Wang. All rights reserved.

Fixed Points of Modified Contractive Mappings in Complete MetricLike Spaces
Sat, 28 Feb 2015 09:48:32 +0000
http://www.hindawi.com/journals/jfs/2015/270971/
We introduce the notion of modified contractive mappings in the setting of complete metriclike spaces and we investigate the existence and uniqueness of fixed point of such mappings. The presented results unify, extend, and improve several results in the related literature.
Hamed H. Alsulami, Erdal Karapınar, and Hossein Piri
Copyright © 2015 Hamed H. Alsulami et al. All rights reserved.

Coefficient Estimates for Two New Subclasses of Biunivalent Functions with respect to Symmetric Points
Wed, 25 Feb 2015 08:33:12 +0000
http://www.hindawi.com/journals/jfs/2015/145242/
We introduce two subclasses of biunivalent
functions and find estimates on the coefficients and for functions in these new subclasses. Also, consequences of the results are pointed out.
Şahsene Altınkaya and Sibel Yalçın
Copyright © 2015 Şahsene Altınkaya and Sibel Yalçın. All rights reserved.

Picard Sequence and Fixed Point Results on Metric Spaces
Wed, 25 Feb 2015 07:06:24 +0000
http://www.hindawi.com/journals/jfs/2015/189861/
We obtain some fixed point results for singlevalued and multivalued mappings in the setting of a metric space. These results are generalizations of the analogous ones recently proved by Khojasteh, Abbas, and Costache.
Marta Demma and Pasquale Vetro
Copyright © 2015 Marta Demma and Pasquale Vetro. All rights reserved.

A New Characterization of Uniformly Rotund Banach Space
Tue, 24 Feb 2015 14:19:03 +0000
http://www.hindawi.com/journals/jfs/2015/865305/
A new characterization of uniformly rotund Banach space with
is given. Moreover, a corresponding result in the
locally uniformly rotund Banach space with is
given.
Suyalatu Wulede, Tingting Li, and Xuan Qin
Copyright © 2015 Suyalatu Wulede et al. All rights reserved.

Continuous Dependence of the Solutions of Nonlinear Integral Quadratic Volterra Equation on the Parameter
Mon, 23 Feb 2015 08:07:24 +0000
http://www.hindawi.com/journals/jfs/2015/471235/
We prove results on the existence and continuous dependence of solutions of a nonlinear quadratic integral Volterra equation on a parameter. This dependence is investigated in terms of Hausdorff distance. The considerations are placed in the Banach space and the Fréchet space.
Szymon Dudek and Leszek Olszowy
Copyright © 2015 Szymon Dudek and Leszek Olszowy. All rights reserved.

Inequalities Characterizing LinearMultiplicative Functionals
Mon, 23 Feb 2015 07:47:02 +0000
http://www.hindawi.com/journals/jfs/2015/945758/
We prove, in an elementary way, that if
a nonconstant realvalued mapping defined on a real algebra with a
unit satisfies certain inequalities, then it is a linear and multiplicative
functional. Moreover, we determine all Jensen concave and
supermultiplicative operators , where and are compact Hausdorff spaces.
Włodzimierz Fechner
Copyright © 2015 Włodzimierz Fechner. All rights reserved.

The Generalized Green’s Function for Boundary Value Problem of Second Order Difference Equation
Mon, 23 Feb 2015 06:37:20 +0000
http://www.hindawi.com/journals/jfs/2015/201946/
Let and . In this paper, by building the generalized Green’s function for the problems, we study the solvability of the SL problem , , , and the periodic SL problem , , where the parameter is an eigenvalue of the linear problem , , or the problem , , and , is defined and real valued on , and in the periodic SL problem we have .
Xiaoling Han and Juanjuan Huang
Copyright © 2015 Xiaoling Han and Juanjuan Huang. All rights reserved.

Some Classes of Continuous Operators on Spaces of Bounded VectorValued Continuous Functions with the Strict Topology
Sun, 22 Feb 2015 14:39:14 +0000
http://www.hindawi.com/journals/jfs/2015/796753/
Let be a completely regular Hausdorff space and let and be Banach spaces. Let be the space of all valued bounded, continuous functions on , equipped with the strict topology . We study the relationship between important classes of continuous linear operators (strongly bounded, unconditionally converging, weakly completely continuous, completely continuous, weakly compact, nuclear, and strictly singular) and the corresponding operator measures given by Riesz representing theorems. Some applications concerning the coincidence among these classes of operators are derived.
Marian Nowak
Copyright © 2015 Marian Nowak. All rights reserved.

Some Results for Periodic Solutions of a Kind of Liénard Equation
Sun, 22 Feb 2015 06:58:53 +0000
http://www.hindawi.com/journals/jfs/2015/519747/
We investigate the following Liénardtype Laplacian equation with a deviating argument . Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the ManásevichMawhin continuation theorem and some analysis techniques. Our results hold under weaker conditions than some known results from the literature and are more effective. In the last section, an illustrative example is provided to demonstrate the applications of the theoretical results.
Yong Wang and Xiangyi Yi
Copyright © 2015 Yong Wang and Xiangyi Yi. All rights reserved.

On Traces in Some Analytic Spaces in Bounded Strictly Pseudoconvex Domains
Thu, 19 Feb 2015 10:34:05 +0000
http://www.hindawi.com/journals/jfs/2015/265245/
New sharp estimates of traces of Bergman type spaces of analytic functions in bounded strictly pseudoconvex domains are obtained. These are, as far as we know, the first results of this type which are valid for any bounded strictly pseudoconvex domains with smooth boundary.
Romi F. Shamoyan and Olivera R. Mihić
Copyright © 2015 Romi F. Shamoyan and Olivera R. Mihić. All rights reserved.

A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Tue, 17 Feb 2015 08:22:06 +0000
http://www.hindawi.com/journals/jfs/2015/643969/
We prove a general uniqueness theorem that can be easily applied to the (generalized) HyersUlam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadraticadditive type functional
equations. This uniqueness theorem can replace the repeated proofs for uniqueness of the relevant solutions of given equations while
we investigate the stability of functional equations.
YangHi Lee and SoonMo Jung
Copyright © 2015 YangHi Lee and SoonMo Jung. All rights reserved.

Volterra Type Integral Operators and Composition Operators on Model Spaces
Thu, 12 Feb 2015 13:08:30 +0000
http://www.hindawi.com/journals/jfs/2015/467802/
We study some mapping properties of Volterra type integral operators and composition operators on model spaces. We also discuss and give out a couple of interesting open problems in model spaces where any possible solution of the problems can be used to study a number of other operator theoretic related problems in the spaces.
Tesfa Mengestie
Copyright © 2015 Tesfa Mengestie. All rights reserved.

Ulam Problem for the Cosine Addition Formula in Sato Hyperfunctions
Thu, 12 Feb 2015 09:49:38 +0000
http://www.hindawi.com/journals/jfs/2015/615167/
We prove the Ulam problem for the cosine addition formula in the spaces of Schwartz distributions and Sato hyperfunctions with respect to bounded distributions and bounded hyperfunctions.
Jaeyoung Chung and SoonYeong Chung
Copyright © 2015 Jaeyoung Chung and SoonYeong Chung. All rights reserved.

Large Function Algebras with Certain Topological Properties
Tue, 10 Feb 2015 12:55:42 +0000
http://www.hindawi.com/journals/jfs/2015/761924/
Let be a family of continuous functions defined on a compact interval. We give a sufficient condition so that contains a dense generated free algebra; in other words, is densely strongly algebrable. As an application we obtain dense strong algebrability of families of nowhere Hölder functions, BrucknerGarg functions, functions with a dense set of local maxima and local minima, and nowhere monotonous functions differentiable at all but finitely many points. We also study the problem of the existence of large closed algebras within where or . We prove that the set of perfectly everywhere surjective functions together with the zero function contains a generated algebra closed in the topology of uniform convergence while it does not contain a nontrivial algebra closed in the pointwise convergence topology. We prove that an infinitely generated algebra which is closed in the pointwise convergence topology needs to contain two valued functions and infinitely valued functions. We give an example of such an algebra; namely, it was shown that there is a subalgebra of with generators which is closed in the pointwise topology and, for any function in this algebra, there is an open set such that is a Bernstein set.
Artur Bartoszewicz and Szymon Głąb
Copyright © 2015 Artur Bartoszewicz and Szymon Głąb. All rights reserved.

Representation of Group Isomorphisms: The Compact Case
Tue, 03 Feb 2015 08:54:51 +0000
http://www.hindawi.com/journals/jfs/2015/879414/
Let be a discrete group and let and be two subgroups of valued continuous functions defined on two 0dimensional compact spaces and
. A group isomorphism defined between and is called separating when,
for each pair of maps satisfying that , it holds that
. We prove that under some mild conditions every biseparating isomorphism can be represented by means of a continuous function as a weighted composition operator. As a consequence we establish
the equivalence of two subgroups of continuous functions if there is a biseparating
isomorphism defined between them.
Marita Ferrer, Margarita Gary, and Salvador Hernández
Copyright © 2015 Marita Ferrer et al. All rights reserved.

KorovkinType Theorems for Modular Statistical Convergence
Sat, 31 Jan 2015 13:22:48 +0000
http://www.hindawi.com/journals/jfs/2015/160401/
We deal with a new type of statistical convergence for double sequences, called statistical convergence, and we prove a Korovkintype approximation theorem with respect to this type of convergence in modular spaces. Finally, we give some application to momenttype operators in Orlicz spaces.
Carlo Bardaro, Antonio Boccuto, Kamil Demirci, Ilaria Mantellini, and Sevda Orhan
Copyright © 2015 Carlo Bardaro et al. All rights reserved.

Tricorns and Multicorns of Iteration Scheme
Wed, 28 Jan 2015 12:03:57 +0000
http://www.hindawi.com/journals/jfs/2015/417167/
Complex graphics of dynamical system have striking features of fractals and become a wide area of research due to their beauty and complexity of their nature. The aim of this paper is to study dynamics of relative superior tricorns and multicorns using iteration schemes. Several examples are presented to explore the geometry of relative superior tricorns and multicorns for antipolynomial of complex polynomial for .
Shin Min Kang, Arif Rafiq, Abdul Latif, Abdul Aziz Shahid, and Young Chel Kwun
Copyright © 2015 Shin Min Kang et al. All rights reserved.

Nontrivial Solutions for Periodic Schrödinger Equations with SignChanging Nonlinearities
Thu, 15 Jan 2015 14:02:06 +0000
http://www.hindawi.com/journals/jfs/2015/757153/
We prove a new infinitedimensional linking theorem. Using this theorem, we obtain nontrivial solutions for strongly indefinite periodic Schrödinger equations with signchanging nonlinearities.
Shaowei Chen, Lishan Lin, and Liqin Xiao
Copyright © 2015 Shaowei Chen et al. All rights reserved.

Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces
Thu, 15 Jan 2015 11:05:31 +0000
http://www.hindawi.com/journals/jfs/2015/450145/
We will study the boundedness of Marcinkiewicz integrals with rough kernel on
the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a
function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey
spaces.
Runqing Cui and Zhang Li
Copyright © 2015 Runqing Cui and Zhang Li. All rights reserved.

Uniform Extendibility of the Bergman Kernel for Generalized Minimal Balls
Wed, 14 Jan 2015 14:04:06 +0000
http://www.hindawi.com/journals/jfs/2015/919465/
We consider a class of convex domains which contains nonReinhardt domains with nonsmooth boundary. We show that the domains of this class satisfy the condition Q.
JongDo Park
Copyright © 2015 JongDo Park. All rights reserved.

Caristi Type Selections of Multivalued Mappings
Sun, 11 Jan 2015 07:18:07 +0000
http://www.hindawi.com/journals/jfs/2015/941856/
Multivalued mappings and related selection theorems are fundamental tools in many branches of mathematics and applied sciences. In this paper we continue this theory and prove the existence of Caristi type selections for generalized multivalued contractions on complete metric spaces, by using some classes of functions. Also we prove fixed point and quasifixed point theorems.
Calogero Vetro and Francesca Vetro
Copyright © 2015 Calogero Vetro and Francesca Vetro. All rights reserved.

Weak Precompactness in the Space of VectorValued Measures of Bounded Variation
Tue, 06 Jan 2015 08:06:58 +0000
http://www.hindawi.com/journals/jfs/2015/213679/
For a Banach space and a measure space , let be the space of all valued countably additive measures on of bounded variation, with the total variation norm. In this paper we give a characterization of weakly precompact subsets of .
Ioana Ghenciu
Copyright © 2015 Ioana Ghenciu. All rights reserved.

TwoWeight Extrapolation on Lorentz Spaces
Thu, 01 Jan 2015 09:33:34 +0000
http://www.hindawi.com/journals/jfs/2015/182921/
We give several twoweight extrapolation theorems on Lorentz spaces which extend the results of CruzUribe and Pérez (2000) and some applications for the singular integral operators, the potential type operators, and commutators.
Wenming Li, Tingting Zhang, and Limei Xue
Copyright © 2015 Wenming Li et al. All rights reserved.

A Note on the Generalized CamassaHolm Equation
Thu, 25 Dec 2014 12:59:25 +0000
http://www.hindawi.com/journals/jfs/2014/975925/
We study the generalized CamassaHolm equation which contains the CamassaHolm (CH) equation and Novikov equation as special cases with the periodic boundary condition. We get a blowup scenario and obtain the global existence of strong and weak solutions under suitable assumptions, respectively. Then, we construct the periodic peaked solutions and apply them to prove the illposedness in with .
Yun Wu and Ping Zhao
Copyright © 2014 Yun Wu and Ping Zhao. All rights reserved.

Global Existence and BlowUp for the EulerBernoulli Plate Equation with Variable Coefficients
Thu, 25 Dec 2014 00:10:16 +0000
http://www.hindawi.com/journals/jfs/2014/176429/
We prove the local existence, blowup, global existence, and stability of solutions to the initial boundary value problem for EulerBernoulli plate equation with variable coefficients.
Jianghao Hao and Jie Lan
Copyright © 2014 Jianghao Hao and Jie Lan. All rights reserved.

Some Topological Properties of
Mon, 22 Dec 2014 00:10:16 +0000
http://www.hindawi.com/journals/jfs/2014/195262/
If is a completely regular space, first we characterize those spaces whose compact sets are metrizable. Then we use this result to provide a general condition for to ensure the metrizability of compact sets in . Finally, we characterize those spaces that have a basis.
Juan Carlos Ferrando
Copyright © 2014 Juan Carlos Ferrando. All rights reserved.

Lipschitz Estimates for OneSided Cohen’s Commutators on Weighted OneSided TriebelLizorkin Spaces
Mon, 08 Dec 2014 12:22:45 +0000
http://www.hindawi.com/journals/jfs/2014/720875/
We introduce onesided Cohen’s commutators of singular integral operators and fractional integral operators, respectively. Using the extrapolation of onesided weights, we establish the boundedness of these operators from weighted Lebesgue spaces to weighted onesided TriebelLizorkin spaces.
Xiao Jin Zhang and Xian Ming Hou
Copyright © 2014 Xiao Jin Zhang and Xian Ming Hou. All rights reserved.